131332004513300 has 144 divisors (see below), whose sum is σ = 293592976471872. Its totient is φ = 50964028416000.

The previous prime is 131332004513293. The next prime is 131332004513351. The reversal of 131332004513300 is 3315400233131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1122082382 + ... + 1122199418.

It is an arithmetic number, because the mean of its divisors is an integer number (2038840114388).

Almost surely, 2^{131332004513300} is an apocalyptic number.

131332004513300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131332004513300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146796488235936).

131332004513300 is an abundant number, since it is smaller than the sum of its proper divisors (162260971958572).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131332004513300 is a wasteful number, since it uses less digits than its factorization.

131332004513300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118858 (or 118851 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 29.

Adding to 131332004513300 its reverse (3315400233131), we get a palindrome (134647404746431).

The spelling of 131332004513300 in words is "one hundred thirty-one trillion, three hundred thirty-two billion, four million, five hundred thirteen thousand, three hundred".